Linear Algebra Series - Change of Basis Matrix Solver
Interactive Solver for the Change of Basis Matrix
Linear Algebra Series - The Four Fundamental Subspaces Solver
Interactive Solver for The Four Fundamental Subspaces - Column Space, Row Space, Null Space and the Left Null Space
Linear Algebra Series - Principal Component Analysis (PCA)
In the age of Big Data, we have too many variables. PCA uses linear algebra to reduce dataset dimensionality while keeping the most important information, simplifying complex data clusters into understandable, actionable patterns.
Linear Algebra Series - Singular Value Decomposition (SVD)
The pinnacle of linear algebra, SVD works on any matrix. We learn to break a matrix into strictly orthogonal components, a technique crucial for image compression, noise reduction, and modern recommendation systems.
Linear Algebra Series - Symmetric Matrices and Quadratic Forms
Symmetric matrices appear frequently in physics. We explore the Spectral Theorem, which guarantees beautiful orthogonal properties, and use them to analyze the geometry of Quadratic Forms to visualize ellipsoids, paraboloids, and saddles.
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